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KS2 SATs 2023 Paper 2: reasoning
26 questions · 35 marks. Every question from the paper, recreated, with the official mark scheme, an annotated worked solution and a shadow question (the same skill with new numbers). Open the paper in the Ultimate Exam Question Finder to present it, print it or build a set.
Question 1 (1 mark)
Circle the clock that shows 5 minutes past 11
Clock A
Diagram: A clock showing 2:05.
Clock B
Diagram: A clock showing 11:05.
Clock C
Diagram: A clock showing 12:55.
Clock D
Diagram: A clock showing 1:10.
(1 mark)
Question 2 (1 mark)
Write these temperatures in order, starting with the lowest.
6°C –4°C 1°C –10°C 3°C
(1 mark)
Question 3 (1 mark)
Diagram: A coordinate grid, x from 0 to 10 and y from 0 to 10, with triangle ABC drawn. A is at (3, 3), B is at (8, 7), C is at (6, 2).
ABC is a triangle.
What are the coordinates of point C?
(1 mark)
Question 4 (1 mark)
Some children choose their favourite zoo animal.
The pictogram shows the results.
Diagram: A pictogram. Key: one circle stands for 2 children. A table with columns Animal and Number of children. penguin: 3 circles. elephant: 2 and a half circles. tiger: 6 circles. giraffe: 1 and a half circles.
How many more children choose tiger than elephant?
(1 mark)
Question 5 (1 mark)
Cars and motorbikes are parked in a street.
car motorbike 4 wheels 2 wheels Stefan counts 3 motorbikes and 5 cars.
He counts 28 wheels altogether.
Explain why Stefan cannot be correct.
(1 mark)
Question 6 (1 mark)
Kirsty buys 1 litre of apple juice for £1.39
She pays with a £5 note.
How much change does Kirsty get?
(1 mark)
Question 7 (1 mark)
Here is a number sequence.
75 50 25
Write the next two numbers in the sequence.
(1 mark)
Question 8 (1 mark)
In 2012, there were 24,372 schools in the United Kingdom.
Round the number of schools to the nearest hundred.
(1 mark)
Question 9 (1 mark)
Here are some diagrams showing parts of a circle.
Match each diagram to the name of the dashed line.
Diagram: Three circles, one above another, each with its centre marked. The top circle has a dashed line across it through the centre. The middle circle has a dashed line from the centre to the edge. The bottom circle has its edge drawn dashed. On the right, top to bottom, the names: circumference, diameter, radius.
(1 mark)
Question 10 (1 mark)
Ken thinks of a number.
He divides it by 3
The answer is 72
What number was Ken thinking of?
(1 mark)
Question 11 (2 marks)
(a)
Write the number that is one thousand more than 19,039
(1 mark)
(b)
Write the number that is one hundred less than 19,039
(1 mark)
Question 12 (1 mark)
Draw all the lines of symmetry on this shape.
Use a ruler.
Diagram: A grid of dots, 11 across and 9 up, 1 unit apart. A shape is drawn with corners at (2, 5), (4, 5), (5, 6), (6, 5), (8, 5), (8, 3), (6, 3), (5, 2), (4, 3), (2, 3) (dots counted from the bottom left, starting at 0).
(1 mark)
Question 13 (1 mark)
1/5 of a number is 22
What is the number?
(1 mark)
Question 14 (1 mark)
Diagram: An angle drawn with two straight lines meeting at a point, marked a.
Measure angle a.
(1 mark)
Question 15 (1 mark)
Here are four fractions.
1/3 1/6 1/4 1/2
Write the fractions in the correct place on the number line.
Diagram: A number line from 0 to 1, split into 12 equal parts by marks. Arrows point from four boxes to marks: a box above the line at mark 3, a box above the line at mark 6, a box below the line at mark 2, a box below the line at mark 4 (marks counted from 0).
(1 mark)
Question 16 (1 mark)
One day last year, the rate of rainfall from 6:30 am until 9:00 am was 2 millimetres per hour.
What was the total rainfall from 6:30 am until 9:00 am?
(1 mark)
Question 17 (2 marks)
The manager of a flower shop orders 4 boxes of red roses.
There are 50 roses in each box.
The manager makes bunches with 6 roses in each bunch.
What is the greatest number of bunches that can be made?
Show your method
(2 marks)
Question 18 (2 marks)
A cinema sells tickets at three different prices.
• 1/20 of the tickets are price A.
• 3/5 of the tickets are price B.
• The rest of the tickets are price C.
What fraction of the tickets are price C?
Show your method
(2 marks)
Question 19 (1 mark)
Write the missing number to make this division correct.
15,000 ÷ boxedphantomXX = 75
(1 mark)
Question 20 (2 marks)
Write the two missing digits to make this long multiplication correct.
beginarrayccccccc & & & boxedphantomX & 2 & 3 & 5 \\ × & & & & & boxedphantomX & 3 \\ hline & & & 9 & 7 & 0 & 5 \\ & 1 & 6 & 1 & 7 & 5 & 0 \\ hline & 1 & 7 & 1 & 4 & 5 & 5 endarray
(2 marks)
Question 21 (2 marks)
The height of the tallest person in history is 8 feet 11 inches.
One foot 30 centimetres One inch 2.5 centimetres Use this conversion table to calculate the height of the tallest person, in centimetres.
Show your method
(2 marks)
Question 22 (1 mark)
Here is a regular hexagon.
The area of the large shaded triangle is double the area of the small shaded triangle.
Diagram: A regular hexagon with a flat top and bottom. A line goes from its top left corner through the centre to its bottom right corner, a line from the centre to the bottom left corner, and a line from the middle of the top side down to the centre, marked as a right angle. Shaded: the small triangle between the top left corner, the middle of the top side and the centre; and the large triangle between the centre and the two bottom corners.
What fraction of the whole hexagon is the shaded area?
(1 mark)
Question 23 (2 marks)
A small box contains 650 grams of cereal.
A large box contains 20% more cereal.
One portion of cereal is 40 grams.
How many full portions are in a large box?
Show your method
(2 marks)
Question 24 (1 mark)
1,200 pupils were asked this question:
How important is it to have a break when using a screen?
This chart shows the results.
Diagram: A pie chart in 3 sectors, clockwise from the top: Not important 12%, Quite important 41%, Very important (no amount given).
How many pupils answered ‘Very important’?
(1 mark)
Question 25 (3 marks)
There are 25 sheets of paper in a small pack.
There are 500 sheets in a large pack.
(a)
How many small packs make one large pack?
(1 mark)
(b)
The mass of the paper in the large pack is 2.4 kilograms.
What is the mass of one sheet of paper, in grams?
Show your method
(2 marks)
Question 26 (2 marks)
This formula is used to estimate the mass (in kilograms) of young children.
mass = 2 × (age in years + 5)
(a)
Stefan’s sister is 4 years of age.
Use the formula to estimate her mass.
(1 mark)
(b)
The mass of Megan’s brother is 16 kilograms.
Use the formula to estimate his age.
(1 mark)
Questions Crown copyright (Standards and Testing Agency), recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.